In a first, physicists have directly seen Hofstadter’s butterfly—a long-sought-after fractal in the quantum realm ...

In a discovery that brings a legendary quantum theory to life, physicists at Princeton University have directly observed ...

By using leaf skeletons as templates, researchers harnessed nature's intrinsic hierarchical fractal structures to improve the ...

Scientists at Princeton University have made a groundbreaking discovery in quantum materials, revealing that electron energy ...

A simple lab mistake revealed the elusive quantum butterfly, confirming a 50-year-old theory in an unexpected graphene ...

The math concept hidden in this tree art — geometric shapes known as fractals — is apparent in branching patterns in nature and may be key to humans’ ability to recognize such artwork as trees, ...

By using leaf skeletons as templates, researchers harnessed nature's intrinsic hierarchical fractal structures to improve the ...

Fractals are self-repeating patterns that occur on different length scales and can be seen in nature in a variety of settings, including snowflakes, ferns, and coastlines.

[PapaJ06] puts a new twist on it by using a microwave oven transformer to generate fractal patterns in wood. We’ve seen these Lichtenberg figures before, but generally as electric discharges in ...

A fractal butterfly pattern produced by an unusual configuration of magnetic fields, first predicted almost 50 years ago, has been seen in detail for the first time in a twisted piece of graphene.